scholarly journals Modified function projective synchronization for a class of partially linear fractional order chaotic systems

2013 ◽  
Vol 62 (18) ◽  
pp. 180505
Author(s):  
Yang Ye-Hong ◽  
Xiao Jian ◽  
Ma Zhen-Zhen
Keyword(s):  
Fractional Order ◽  
Chaotic Systems ◽  
Projective Synchronization ◽  
Function Projective Synchronization ◽  
Partially Linear ◽  
Modified Function Projective Synchronization

scholarly journals Modified Function Projective Synchronization for a Partially Linear and Fractional-Order Financial Chaotic System with Uncertain Parameters

2017 ◽  
Vol 2017 ◽  
pp. 1-8
Author(s):  
Yehong Yang ◽  
Guohua Cao
Keyword(s):  
Fractional Order ◽  
Chaotic Systems ◽  
Projective Synchronization ◽  
Uncertain Parameters ◽  
Lyapunov Matrix Equation ◽  
Function Projective Synchronization ◽  
Partially Linear ◽  
Modified Function Projective Synchronization ◽  
Lyapunov Matrix ◽  
The Stability

This paper investigates the modified function projective synchronization between fractional-order chaotic systems, which are partially linear financial systems with uncertain parameters. Based on the stability theory of fractional-order systems and the Lyapunov matrix equation, a controller is obtained for the synchronization between fractional-order financial chaotic systems. Using the controller, the error systems converged to zero as time tends to infinity, and the uncertain parameters were also estimated so that the phenomenon of parameter distortion was effectively avoided. Numerical simulations demonstrate the validity and feasibility of the proposed method.

scholarly journals Modified Function Projective Synchronization of Fractional Order Chaotic Systems with Different Dimensions

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Hong-Juan Liu ◽  
Zhi-Liang Zhu ◽  
Hai Yu ◽  
Qian Zhu
Keyword(s):  
Fractional Order ◽  
Chaotic Systems ◽  
Projective Synchronization ◽  
Hyperchaotic System ◽  
Unknown Parameters ◽  
Adaptive Controllers ◽  
Function Projective Synchronization ◽  
Modified Function Projective Synchronization ◽  
Different Dimensions ◽  
The Stability

The modified function projective synchronization of different dimensional fractional-order chaotic systems with known or unknown parameters is investigated in this paper. Based on the stability theorem of linear fractional-order systems, the adaptive controllers with corresponding parameter update laws for achieving the synchronization are given. The fractional-order chaotic system and hyperchaotic system are applied to achieve synchronization in both reduced order and increased order. The corresponding numerical results coincide with theoretical analysis.

scholarly journals Modified Function Projective Synchronization between Different Dimension Fractional-Order Chaotic Systems

2012 ◽  
Vol 2012 ◽  
pp. 1-12 ◽  
Author(s):  
Ping Zhou ◽  
Rui Ding
Keyword(s):  
Numerical Simulations ◽  
Fractional Order ◽  
Stability Theory ◽  
Chaotic Systems ◽  
Projective Synchronization ◽  
Fractional Order Systems ◽  
Fractional Order Derivative ◽  
Function Projective Synchronization ◽  
Modified Function Projective Synchronization ◽  
Synchronization Scheme

A modified function projective synchronization (MFPS) scheme for different dimension fractional-order chaotic systems is presented via fractional order derivative. The synchronization scheme, based on stability theory of nonlinear fractional-order systems, is theoretically rigorous. The numerical simulations demonstrate the validity and feasibility of the proposed method.

scholarly journals Analysis and modified function projective synchronization of integer and fractional-order autonomous Morse jerk oscillator

2021 ◽  
Vol 5 (2) ◽  
pp. 275-280
Author(s):  
Dongmo ERİC DONALD ◽  
Cyrille AİNAMON ◽  
Alex Stéphane KEMNANG TSAFACK ◽  
Nasr SAEED ◽  
Victor KAMDOUM ◽  
...  
Keyword(s):  
Fractional Order ◽  
Projective Synchronization ◽  
Function Projective Synchronization ◽  
Modified Function Projective Synchronization
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